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Finding the Third Proportional to 504,312 and 1,079,984

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Solution

The third proportional to 504,312 and 1,079,984 is: 2,312,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,312 : 1,079,984 = 1,079,984 : x
  2. Step 2: Convert to fraction form
    504,312/1,079,984 = 1,079,984/x
  3. Step 3: Cross multiply
    504,312x = 1,079,984 × 1,079,984
  4. Step 4: Simplify right side
    504,312x = 1,166,365,440,256
  5. Step 5: Solve for x
    x = 1,166,365,440,256/504,312
  6. Step 6: Final answer
    x = 2,312,785.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.